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112012202052 = 22358911231153
BaseRepresentation
bin110100001010001110…
…0101001000001000100
3101201010022201102200000
41220110130221001010
53313400110431202
6123242510121300
711043524002512
oct1502434510104
9351108642600
10112012202052
114355aa71313
12198607b0230
13a7413571ca
1455c85374b2
152da8aba91c
hex1a14729044

112012202052 has 144 divisors (see below), whose sum is σ = 297450054720. Its totient is φ = 36853014528.

The previous prime is 112012202039. The next prime is 112012202053. The reversal of 112012202052 is 250202210211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (112012202053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97147908 + ... + 97149060.

It is an arithmetic number, because the mean of its divisors is an integer number (2065625380).

Almost surely, 2112012202052 is an apocalyptic number.

112012202052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112012202052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148725027360).

112012202052 is an abundant number, since it is smaller than the sum of its proper divisors (185437852668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112012202052 is a wasteful number, since it uses less digits than its factorization.

112012202052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 112012202052 its reverse (250202210211), we get a palindrome (362214412263).

The spelling of 112012202052 in words is "one hundred twelve billion, twelve million, two hundred two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 243 267 324 356 486 534 801 972 1068 1123 1153 1602 2246 2306 2403 3204 3369 3459 4492 4612 4806 6738 6918 7209 9612 10107 10377 13476 13836 14418 20214 20754 21627 28836 30321 31131 40428 41508 43254 60642 62262 86508 90963 93393 99947 102617 121284 124524 181926 186786 199894 205234 272889 280179 299841 307851 363852 373572 399788 410468 545778 560358 599682 615702 899523 923553 1091556 1120716 1199364 1231404 1294819 1799046 1847106 2589638 2698569 2770659 3598092 3694212 3884457 5179276 5397138 5541318 7768914 8095707 8311977 10794276 11082636 11653371 15537828 16191414 16623954 23306742 24287121 24935931 32382828 33247908 34960113 46613484 48574242 49871862 69920226 97148484 99743724 104880339 115238891 139840452 209760678 230477782 314641017 345716673 419521356 460955564 629282034 691433346 1037150019 1258564068 1382866692 2074300038 3111450057 4148600076 6222900114 9334350171 12445800228 18668700342 28003050513 37337400684 56006101026 112012202052